Placement Questions & Answers :: TCS Digital

Answer:

Let the distance from Delhi to Gurgaon be 'd' km. The first 30 km he travels at his usual speed. However, the remaining'd-30' km he travels at a reduced speed.
To travel 'd' km he usually takes T hr. Therefore, to travel 'd - 30' km he should ideally take (d−30)xT/d hr. However, this is only if he travels at his usual speed. It is given that he travelled only at 4/5th of his usual speed. Because of this he would have taken 5/4th of the time to travel the remaining distance, i.e., he takes 1/4th of the time extra. This is given to be 45 minutes (or 3/4th hr)
1/4x(d−30)xT/d = 3/4 (1)
On the other hand, had the same thing happened after he travelled 48 km, he would have reached only 36 minutes or 34 hrs late. Hence,
1/4x(d−48)xT/d = 3/5 (2)
Dividing (1) by (2) and solving for d, we get d = 120 km.

Answer:

The electric pump can fill the tank in 3 hrs. Because of the leak it took 3.5 hrs.
Now, if there is no leak and the electric pump works for 3.5 hrs instead of 3 hrs, 0.5/3 = 1/6 of the tank must have been overflown. But we are unable to see the overflow because this 1/6 is emptied by the leak of course working for 3.5 hrs.
Hence the leak can empty 1/6 of the tank in 3.5 hours. So it can empty a full tank in 21 hrs.

Answer:

Maximum of (red, blue, brown) + 2nd maximum of (red, blue, brown) + 2
36 + 24 + 2 = 62.

Answer:

x and y are 2 single digit integer to get the maximum value for equation
x-y+33
Since it is difference between x&y one number should be maximum and other should be minimum to get maximum value take x=9&y=1
9-1+33=41

Answer:

Let us take the ages of Father, Mother, First son, Second son and daughter as F, M, S1, S2 and D respectively.
Given,
S1: D = 3: 1 M = 3.5 (S2) S2 = 2/3 (S1) D = 5
Now, S1: D = 3: 1 => S1 = 3D => S1 = 3(5) => 15 So, S1 = 15
S2 = 2/3 (S1) => S2 = 2/3(15) => 10 S2 = 10
M = 3.5 (10) => 35
Mother's age is 35

Answer:

Going from options Option 8835
If manufacturing cost is 8835,
Manufacturer to Wholesaler = 30/100 * 8835 = 2650.5 Total = 8835 + 2650.5 = 11485.5
Wholesaler to Retailer = 20/100 * 11485.5 = 2297.1 Total = 11485.5 + 2297.1 = 13782.6
Retailer to Rahul = 15/100 * 13782.6 = 2067.34 Total = 13782.6 + 2067.34 ~ 15850
Hence option 8835 will be the answer.

Answer:

For minimum people in a set we can consider handshakes as {a1, a2, a3}, {a4, a5, a6},
{a7, a8, a9},…….{ an-2,an-1,an}
For minimum people, we can consider the set {a2, a5, a8… an-1}.
So, MINIMUM people in a set = n / 3 so n/3=66/3=22

Answer:

t=24
D = 4*sqrt(24 - 8) D = 4*sqrt(16)
D = 4*4 D = 16

Answer:

The mice will die within 24 hours not exactly on the 24th hour.
For example, if there are 7 cans,
1st Can's solution is given to mice A. 2nd Can's solution is given to mice B. 3rd Can's solution is given to mice C. 4th Can's solution is given to A and B. 5th Can's solution is given to B and C. 6th Can's solution is given to C and A. 7th Can's solution is given to A, B and C.
Then within 24 hours if A alone dies, Can 1 is poisoned. If B alone dies, Can 2 is poisoned.
If C alone dies, Can 3 is poisoned.
A and B dies if Can 4 is poisoned, B and C dies if Can 5 is poisoned, C and A dies if Can 6 is poisoned & if all A, B, C dies then Can 7 is poisoned.
From this we can tell that to check 23-1 = 7 Cans we need 3 mouse.
Therefore we can tell that in order to check 30 Cans (25-1 = 31 maximum) we need 5 mouse.

Answer:

In decimal system total no. of 3's from 1 to 1000 are 100*3 = 300 In base 6, value of 300 = 3*(6^2) + 0*(6^1) + 0*(6^0) = 108.